Using multiscale norms to quantify mixing and transport
JL Thiffeault - Nonlinearity, 2012 - iopscience.iop.org
Mixing is relevant to many areas of science and engineering, including the pharmaceutical
and food industries, oceanography, atmospheric sciences and civil engineering. In all these …
and food industries, oceanography, atmospheric sciences and civil engineering. In all these …
Bounds on heat transfer by incompressible flows between balanced sources and sinks
Internally heated convection involves the transfer of heat by fluid motion between a
distribution of sources and sinks. Focusing on the balanced case where the total heat added …
distribution of sources and sinks. Focusing on the balanced case where the total heat added …
Universal mixers in all dimensions
We construct universal mixers, incompressible flows that mix arbitrarily well general
solutions to the corresponding transport equation, in all dimensions. This mixing is …
solutions to the corresponding transport equation, in all dimensions. This mixing is …
Mixing and un-mixing by incompressible flows
Mixing and un-mixing by incompressible flows Page 1 DOI 10.4171/JEMS/709 J. Eur. Math.
Soc. 19, 1911–1948 c European Mathematical Society 2017 Yao Yao · Andrej Zlatoš Mixing …
Soc. 19, 1911–1948 c European Mathematical Society 2017 Yao Yao · Andrej Zlatoš Mixing …
Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
Consider a diffusion-free passive scalar θ being mixed by an incompressible flow u on the
torus ${\mathbb T}^ d $. Our aim is to study how well this scalar can be mixed under an …
torus ${\mathbb T}^ d $. Our aim is to study how well this scalar can be mixed under an …
Exponential mixing for random dynamical systems and an example of Pierrehumbert
We consider the question of exponential mixing for random dynamical systems on arbitrary
compact manifolds without boundary. We put forward a robust, dynamics-based framework …
compact manifolds without boundary. We put forward a robust, dynamics-based framework …
Wall to wall optimal transport
The calculus of variations is employed to find steady divergence-free velocity fields that
maximize transport of a tracer between two parallel walls held at fixed concentration for one …
maximize transport of a tracer between two parallel walls held at fixed concentration for one …
Inviscid dam** and enhanced dissipation of the boundary layer for 2D Navier–Stokes linearized around Couette flow in a channel
We study the 2D Navier–Stokes equations linearized around the Couette flow (y, 0)^ t (y, 0) t
in the periodic channel T *-1, 1 T×-1, 1 with no-slip boundary conditions in the vanishing …
in the periodic channel T *-1, 1 T×-1, 1 with no-slip boundary conditions in the vanishing …
The diffusive strip method for scalar mixing in two dimensions
We introduce a new numerical method for the study of scalar mixing in two-dimensional
advection fields. The position of an advected material strip is computed kinematically, and …
advection fields. The position of an advected material strip is computed kinematically, and …
Fast distributed average consensus algorithms based on advection-diffusion processes
S Sardellitti, M Giona… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Distributed consensus algorithms have recently gained large interest in sensor networks as
a way to achieve globally optimal decisions in a totally decentralized way, that is, without the …
a way to achieve globally optimal decisions in a totally decentralized way, that is, without the …